Chikungunya is a re-emerging arboviral disease in Asia and Africa infected by Aedes mosquitoes which had posed a global threat in several countries. Vector borne diseases are the primary cause of death in most of the world countries, hence it becomes pertinent to control these vector borne diseases. In this paper a mathematical model is provided by dividing it in four components namely Susceptible human, Exposed human, Infected human, Recovered human.The study is carried out on basic reproduction number and stability analysis. A mathematical model is developed for globally asymptotically stable disease-free equilibrium, when the associated reproduction number is less than unity. The aim of this study is to formulate a model where number of infectives will not change and the infection rate equals to the recovery rate by reaching stable endemic equilibrium point.